JEE Main 2026 · MathsMultiple choiceOtherHardMulti-step

JEE Main 4 April 2026, Shift 2, Maths Q1

Question 1 of 75 in this shift, Maths question 1 of 25, Section A.

For the function

f:[1,\infty)\to[1,\infty)

defined by

f(x)=(x-1)^4+1

, among the two statements: (I) The set

S=\{x\in[1,\infty):f(x)=f^{-1}(x)\}

contains exactly two elements, and (II) The set

S=\{x\in[1,\infty):f(x)=f^{-1}(x+1)\}

is an empty set,

(1)only (I) is TRUEOfficial answer
(2)only (II) is TRUE
(3)both (I) and (II) are TRUE
(4)neither (I) nor (II) is TRUE

Official answer

Option 1

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Domain and Range of Inverse Functions

Same topic in other shifts

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.